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About Azeem Hussain
Expertise
I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry. I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.

Experience
I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Publications
Reflections, Riverside School Board (2005, 2006)

Education/Credentials
Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

Awards and Honors
Pascal Math Competition, School Champion(2007)

You are here: Experts > Science > Math for Kids > Geometry > Finding Dimensions Given Area

Geometry - Finding Dimensions Given Area

Expert: Azeem Hussain - 11/1/2009

Question
I am trying to figure out how to get the base and lenght to a problem that only has the area given. the base is three greater than the height.

Answer
Hi Shamara!

Ultimately, your final formula will depend on the shape. You need an equation for area in terms of base and length. Suppose you're dealing with a rectangle. I'll use l for length and w for width.
A=lw

You're also told that the base is three greater than the height.
l=w+3

Plug this equation into the first.
A=(w+3)w
A=w²+3w
0=w²+3w-A

You can now solve this quadratic equation to find w. Once you have, plug it into l=w+3 to solve for l. You'll now have the values of each dimension!

This is the general strategy when the give you two dimensions in terms of each other. If it were something like the base is 3 times greater than the height, your second equation would be b=3h. You would then substitute that into your area formula and find h, then plug it back to find b.

Thanks for asking,
Azeem

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